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Finding the Fourth Proportional to 509,362.89, 764,043.53 and 135,385.89

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Solution

The fourth proportional to 509,362.89, 764,043.53 and 135,385.89 is: 203,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,362.89 : 764,043.53 = 135,385.89 : x
  2. Step 2: Convert to fraction form
    509,362.89/764,043.53 = 135,385.89/x
  3. Step 3: Cross multiply
    509,362.89x = 764,043.53 × 135,385.89
  4. Step 4: Simplify right side
    509,362.89x = 103,440,712,630.86
  5. Step 5: Solve for x
    x = 103,440,712,630.86/509,362.89
  6. Step 6: Final answer
    x = 203,078.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.